341.67 is what percent of 205 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 205 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 205, so we can write it down as 100%=205.
4. We know, that x% equals 341.67 of the output value, so we can write it down as x%=341.67.
5. Now we have two simple equations:
1) 100%=205
2) x%=341.67
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=205/341.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 341.67 is what percent of 205

100%/x%=205/341.67
(100/x)*x=(205/341.67)*x       - we multiply both sides of the equation by x
100=0.59999414639857*x       - we divide both sides of the equation by (0.59999414639857) to get x
100/0.59999414639857=x
166.66829268293=x
x=166.66829268293

now we have:
341.67 is 166.66829268293% of 205